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Linear Time Invariant System Models
, 2002
"... In this section we introduce different descriptions of linear timeinvariant systems and review key concepts in linear systems. Focus will be given to discretetime models even though we introduce the continuoustime counterparts in order to point out the similarities and differences. The two forms o ..."
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In this section we introduce different descriptions of linear timeinvariant systems and review key concepts in linear systems. Focus will be given to discretetime models even though we introduce the continuoustime counterparts in order to point out the similarities and differences. The two forms
Semidefinite Programming Duality and Linear TimeInvariant Systems
, 2003
"... Several important problems in control theory can be reformulated as semidefinite programming problems, i.e., minimization of a linear objective subject to Linear Matrix Inequality (LMI) constraints. From convex optimization duality theory, conditions for infeasibility of the LMIs as well as dual opt ..."
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Cited by 28 (3 self)
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optimization problems can be formulated. These can in turn be reinterpreted in control or system theoretic terms, often yielding new results or new proofs for existing results from control theory. We explore such connections for a few problems associated with linear timeinvariant systems. 1
Block Control of Linear Time Invariant Systems with Delay
"... This paper applies the block control method to form a decomposed control law suitable for multivariable linear timedelay systems. A Block Controllable Form is introduced, and a nonsingular transformation that reduces the system to this form, is proposed. Conditions of stability of the closedloop ..."
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been proposed. The common feature of the referred works is that their derivations are based on analysis of full order system. In this paper, to stabilize linear time invariant systems with delayed state and input, we use the block control principle which is fruitful and relatively simple, especially
Parameterization and Controllability of Linear TimeInvariant Systems
"... This paper presents a generalized method to implement the idea of parameterization and model realization to synthesize a control function that affects a possible state transfer that are equivalent to the controllability of the Linear TimeInvariant (LTI) control systems. The key idea here is that on ..."
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This paper presents a generalized method to implement the idea of parameterization and model realization to synthesize a control function that affects a possible state transfer that are equivalent to the controllability of the Linear TimeInvariant (LTI) control systems. The key idea here
On the Maximum Response of Linear, TimeInvariant Systems
"... Abstract—When studying the maximum response of a linear (timeinvariant) system, e.g. in order to properly scale the system, it is common practice to look at the energy of the impulse response, or equivalently, due to Parseval’s Law, at the energy of the frequency response. Mathematically, this en ..."
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Abstract—When studying the maximum response of a linear (timeinvariant) system, e.g. in order to properly scale the system, it is common practice to look at the energy of the impulse response, or equivalently, due to Parseval’s Law, at the energy of the frequency response. Mathematically
A New Approach on the Balanced Realization of Linear TimeInvariant Systems
, 2000
"... This paper deals with the balanced realization of linear time invariant systems using an one parameter optimization technique through a variational approach. The Hankel norm is established first. As balanced coordinate vectors are parallel to Hankel singular vectors, a new algorithm for balanced rea ..."
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This paper deals with the balanced realization of linear time invariant systems using an one parameter optimization technique through a variational approach. The Hankel norm is established first. As balanced coordinate vectors are parallel to Hankel singular vectors, a new algorithm for balanced
Fast state estimation in linear timeinvariant systems: an algebraic approach
 MED 08
, 2008
"... In this note, an algebraic approach for state estimation of linear time invariant systems is developed. This approach is based on the following mathematical tools: Laplace transform, Leibniz formula and operational calculus. A generalized expression of the state variables in function of the integra ..."
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Cited by 1 (0 self)
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In this note, an algebraic approach for state estimation of linear time invariant systems is developed. This approach is based on the following mathematical tools: Laplace transform, Leibniz formula and operational calculus. A generalized expression of the state variables in function
Efficient computation of reachable sets of linear timeinvariant systems with inputs
 in HSCC’06, vol. 3927 in LNCS
, 2006
"... Abstract. This work is concerned with the problem of computing the set of reachable states for linear timeinvariant systems with bounded inputs. Our main contribution is a novel algorithm which improves significantly the computational complexity of reachability analysis. Algorithms to compute over ..."
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Cited by 37 (7 self)
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Abstract. This work is concerned with the problem of computing the set of reachable states for linear timeinvariant systems with bounded inputs. Our main contribution is a novel algorithm which improves significantly the computational complexity of reachability analysis. Algorithms to compute over
Results 1  10
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2,495,952