She earned the "Award for Early Influence" on Saturday, while the other five acts were inducted as performers.
Illsley did compliment Knopfler for writing music that made the band "stand out from the crowd". They've had a string of classic rock anthems since their first album in 1984 including "You Give Love a Bad Name, ' "Livin" on a Prayer" and 'Wanted Dead or Alive'.
"You know where you are?" frontman Jon Bon Jovi asked the crowd.
Sambora hasn't played with the band since he left in 2013 while Such hasn't been onstage with them since a one-off performance in 2001.
The 2017 induction ceremony will be broadcast on cable channel HBO on May 5.
Petty, who was enshrined with his band The Heartbreakers in 2002, died in October of an accidental drug overdose shortly after wrapping up a highly successful North American tour.
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But if anyone is capable of creating a game plan to upset the ailing defending champions, it's San Antonio's Gregg Popovich. The Raptors held off the Boston Celtics to clinch the number one seed and their reward is a series against the Wizards.
After an "In memoriam" montage of those who passed in the past year, Heart's Anne Wilson and Alice in Chains' Jerry Cantrell delivered a tribute to Chris Cornell. This year marked the band's third nomination; Brandon Flowers, of The Killers, will induct the band.
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Bon Jovi, who have sold more than 120 million albums and launched multiple No. 1 hits, was first nominated in 2011.
Sister Rosetta Tharpe and Nina Simone were inducted posthumously.
Popular band Bon Jovi reunited and delivered a power-packed selection of hits at the Rock and Roll Hall of Fame induction ceremony in Cleveland.
Bon Jovi and The Moodys have been eligible for the induction for quite some time now. TV and radio personality Howard Stern inducted Bon Jovi. Bon Jovi, one of the six acts getting inducted, dominated the ceremony, making it so that the event appealed more to the band's fans than to the fans of the other acts being inducted (Dire Straits, for example, who received very little stage time). That left Dire Straits' keyboardist Alan Clark, bassist John Illsley and keyboardist Guy Fletcher to deliver induction speeches without a presenter or a performance. Alabama Shakes frontwoman Brittany Howard and guitarist Felicia Collins (who plays guitar in the Marie & Rosetta stage show) performed in honour of another 2018 inductee, Sister Rosetta Tharpe.