Impulsive-smooth behavior in multimode systems. I: State-space and polynomial representations

DOI10.1016/0005-1098(96)00008-8zbMath0865.93029OpenAlexW2134511946MaRDI QIDQ1917131

Yanyan Li

Publication date: 5 September 1996

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0005-1098(96)00008-8

zbMATH Keywords

singular systemsswitching

Mathematics Subject Classification ID

Multivariable systems, multidimensional control systems (93C35) Algebraic methods (93B25)

Related Items (16)

A controllability test for general first-order representations ⋮ Homogeneous behaviors ⋮ Smooth/impulsive linear systems: axiomatic description ⋮ Impulsive-smooth behavior in multimode systems. II: Minimality and equivalence ⋮ Switched nonlinear differential algebraic equations: solution theory, Lyapunov functions, and stability ⋮ Fractional representations of linear systems ⋮ A general realization theory for higher-order linear differential equations ⋮ Closed form solution for the equations of motion for constrained linear mechanical systems and generalizations: an algebraic approach ⋮ Solution Concepts for Linear DAEs: A Survey ⋮ Representability of impulsive input/output behaviors in descriptor form ⋮ Regularity of distributional differential algebraic equations ⋮ (Generalised) autoregressive models and their trajectories ⋮ The complementary-slackness class of hybrid systems ⋮ The equivalence structure of descriptor representations of systems with possibly inconsistent initial conditions ⋮ (Singular) state models and (singular) LTID systems ⋮ Smooth/impulsive linear systems: interconnections

Cites Work

• System structure and singular control
• On the solutions of linear differential equations with singular coefficients
• Solvability conditions, consistency, and weak consistency for linear differential-algebraic equations and time-invariant singular systems: The general case
• Variable structure and Lyapunov control
• Impulsive-smooth behavior in multimode systems. II: Minimality and equivalence
• Invariant subspaces and invertibility properties for singular systems: The general case
• The complementary-slackness class of hybrid systems
• Paradigms and puzzles in the theory of dynamical systems
• Variable structure systems with sliding modes
• Realization of Autoregressive Equations in Pencil and Descriptor Form
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