High-gain robust adaptive controllers for multivariable systems
Systems & Control Letters
Modern control theory (3rd ed.)
Modern control theory (3rd ed.)
Introduction to matrix analysis (2nd ed.)
Introduction to matrix analysis (2nd ed.)
Linear System Theory and Design
Linear System Theory and Design
Dynamic equations on time scales: a survey
Journal of Computational and Applied Mathematics - Dynamic equations on time scales
Stability criteria for set dynamic equations on time scales
Computers & Mathematics with Applications
Nonregressivity in switched linear circuits and mechanical systems
Mathematical and Computer Modelling: An International Journal
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We study conditions under which the solutions of a time varying linear dynamic system of the form x^@D(t)=A(t)x(t) are stable on certain time scales. We give sufficient conditions for various types of stability, including Lyapunov-type stability criteria and eigenvalue conditions on ''slowly varying'' systems that ensure exponential stability. Finally, perturbations of the unforced system are investigated, and an instability criterion is also developed.